To represent the break-even equation for Candy's cupcake business, we need to establish the relationship between her income from selling cupcakes and her expenses on supplies.
Let \( x \) represent the number of cupcakes sold.
Income from cupcakes: Since Candy makes $2 on each cupcake sold, her total income from selling \( x \) cupcakes can be represented as: \[ \text{Income} = 2x \]
Expenses on supplies: Candy spends $346 each month on supplies. Therefore, her expenses can be represented as: \[ \text{Expenses} = 346 \]
At the break-even point, her income equals her expenses. Thus, the break-even equation can be set up as follows: \[ 2x = 346 \]
This equation effectively represents the point where Candy generates enough income from selling her cupcakes to cover her costs.